VARIATIONAL_INEQUALITY

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Inertial Viscosity Iterative Method for Solving Pseudo-monotone Variational Inequality Problems and Fixed Point Problems
《Acta Mathematica Sinica,English Series》2022年第5期937-952,共16页Gang CAI Qiao Li DONG Yu PENG 
Supported by the NSF of China(Grant Nos.11771063,11971082 and 12171062);the Natural Science Foundation of Chongqing(Grant No.cstc2020jcyj-msxm X0455);Science and Technology Project of Chongqing Education Committee(Grant No.KJZD-K201900504);the Program of Chongqing Innovation Research Group Project in University(Grant No.CXQT19018);Open Fund of Tianjin Key Lab for Advanced Signal Processing(Grant No.2019ASP-TJ03)。
In this paper,we investigate a new inertial viscosity extragradient algorithm for solving variational inequality problems for pseudo-monotone and Lipschitz continuous operator and fixed point problems for quasi-nonexp...
关键词：Extragradient method variational inequality fixed point strong convergence quasi-nonexpansive mapping 
Viscosity Iterative Algorithm for Variational Inequality Problems and Fixed Point Problems of Strict Pseudo-contractions in Uniformly Smooth Banach Spaces
《Acta Mathematica Sinica,English Series》2015年第9期1435-1448,共14页Gang CAI 
Supported by NSFC(Grant Nos.11171172 and 11401063);the Specialized Research Fund for the Doctoral Program of Higher Education(Grant No.20120002110044);the Natural Science Foundation of Chongqing(Grant No.cstc2014jcyj A00016)
The purpose of this paper is to study a new viscosity iterative algorithm based on a generalized contraction for finding a common element of the set of solutions of a general variational inequality problem for finite ...
关键词：Variational inequality fixed point strong convergence uniformly smooth Banach space 
On the Finite Convergence of Newton-type Methods for P_0 Affine Variational Inequalities被引量：1
《Acta Mathematica Sinica,English Series》2007年第9期1553-1562,共10页Li Ping ZHANG Wen Xun XING 
the National Natural Science Foundation of China(Grant No.10201001,70471008)
Based on the techniques used in non-smooth Newton methods and regularized smoothing Newton methods, a Newton-type algorithm is proposed for solving the P0 affine variational inequality problem. Under mild conditions, ...
关键词：affine variational inequality NON-SMOOTH SMOOTHING Newton method finite termination 
Heat Flow for the Minimal Surface with Plateau Boundary Condition被引量：6
《Acta Mathematica Sinica,English Series》2003年第1期1-28,共28页KungChingCHANG JiaQuanLIU 
The heat flow for the minimal surface under Plateau boundary condition is defined to be a parabolic variational inequality, and then the existence, uniqueness, regularity, continuous dependence on the initial data and...
关键词：Plateau problem Minimal surface Heat flow Variational inequality REGULARITY 
Optimal Control of Semilinear Elliptic Variational Bilateral Problem
《Acta Mathematica Sinica,English Series》2000年第1期123-140,共18页Qihong Chen Institute of Mathematics,Fudan University,Shanghai 200433,P.R.China Shanghai Normal University,Shanghai 200023,P.R.China 
This paper is concerned with an optimal control problem for semilinear elliptic variational inequalities associated with bilateral constraints.Existence and optimality conditions of the optimal pair are established.
关键词：Elliptic bilateral variational inequality Optimal control Existence Optimality condition 
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